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Approximating Solutions of Matrix Equations via Fixed Point Techniques

dc.contributor.authorShukla, Rahul
dc.contributor.authorPant, Rajendra
dc.contributor.authorNashine, Hemant Kumar
dc.contributor.authorDe la Sen Parte, Manuel ORCID
dc.date.accessioned2021-11-25T09:12:22Z
dc.date.available2021-11-25T09:12:22Z
dc.date.issued2021-10-22
dc.identifier.citationMathematics 9(21) : (2021) // Article ID 2684es_ES
dc.identifier.issn2227-7390
dc.identifier.urihttp://hdl.handle.net/10810/54069
dc.description.abstractThe principal goal of this work is to investigate new sufficient conditions for the existence and convergence of positive definite solutions to certain classes of matrix equations. Under specific assumptions, the basic tool in our study is a monotone mapping, which admits a unique fixed point in the setting of a partially ordered Banach space. To estimate solutions to these matrix equations, we use the Krasnosel’skiĭ iterative technique. We also discuss some useful examples to illustrate our results.es_ES
dc.description.sponsorshipThe authors thank the Basque Government for its support through Grant IT1207-19.es_ES
dc.language.isoenges_ES
dc.publisherMDPIes_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subjectnonexpnasive mappinges_ES
dc.subjectenriched nonexpansive mappinges_ES
dc.subjectbanach spacees_ES
dc.subjectmatrix equationses_ES
dc.titleApproximating Solutions of Matrix Equations via Fixed Point Techniqueses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.date.updated2021-11-11T14:57:28Z
dc.rights.holder2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).es_ES
dc.relation.publisherversionhttps://www.mdpi.com/2227-7390/9/21/2684/htmes_ES
dc.identifier.doi10.3390/math9212684
dc.departamentoesElectricidad y electrónica
dc.departamentoeuElektrizitatea eta elektronika


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2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Except where otherwise noted, this item's license is described as 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).